96624252000 has 240 divisors, whose sum is σ = 354644402112. Its totient is φ = 25766380800.

The previous prime is 96624251957. The next prime is 96624252013. The reversal of 96624252000 is 25242669.

96624252000 is a `hidden beast` number, since 9 + 6 + 624 + 2 + 5 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 174889 + ... + 473111.

Almost surely, 2^96624252000 is an apocalyptic number.

96624252000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96624252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177322201056).

96624252000 is an abundant number, since it is smaller than the sum of its proper divisors (258020150112).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

96624252000 is a wasteful number, since it uses less digits than its factorization.

96624252000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298260 (or 298233 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 96624252000 its reverse (25242669), we get a palindrome (96649494669).

The spelling of 96624252000 in words is "ninety-six billion, six hundred twenty-four million, two hundred fifty-two thousand".